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The space-time length R between a moving source and the observation point is calculated in order to substitute with it the spatial distance D, normally used in the Newton's law of gravitation, as well as in any inverse-square-law.…

综合物理 · 物理学 2016-09-21 Giuseppina Modestino

We present a novel derivation of both the Minkowski metric and Lorentz transformations from the consistent quantification of a causally ordered set of events with respect to an embedded observer. Unlike past derivations, which have relied…

数学物理 · 物理学 2014-12-22 Kevin H. Knuth , Newshaw Bahreyni

Starting from the classical Newton's second law which, according to our assumption, is valid in any instantaneous inertial rest frame of body that moves in Minkowskian space-time we get the relativistic equation of motion…

综合物理 · 物理学 2014-08-15 Krzysztof Rębilas

On the basis of Galilean invariance and the Doppler formula, combined with an observational condition, it is shown that the constancy of the velocity of light {\it in vacuo} can be derived, together with time-dilatation and Lorentz…

经典物理 · 物理学 2009-11-11 Claudia Pombo , Theo M. Nieuwenhuizen

We show that relativistic rotation transformations represent transfer maps between the laboratory system and a local observer on an observer manifold, rather than an event manifold, in the spirit of C-equivalence. Rotation is, therefore,…

综合数学 · 数学 2024-04-10 Satyanad Kichenassamy

Lorentz Transformation is reinterpreted. It is shown that by admitting the existence of a frame of reference with synchronized clocks, we conclude that any other frame of reference that moves related to the first has desynchronized clocks.…

综合物理 · 物理学 2007-05-23 Rodrigo de Abreu

An interpretation of the inertial mass increase due to an object's velocity which is derived from the theory of special relativity is discussed. A Lorentz transformation of the reference time causes the inertial mass increase. It is assumed…

综合物理 · 物理学 2008-03-12 Masanori Sato

We define a noncommutative Lorentz symmetry for canonical noncommutative spaces. The noncommutative vector fields and the derivatives transform under a deformed Lorentz transformation. We show that the star product is invariant under…

高能物理 - 理论 · 物理学 2009-11-10 Xavier Calmet

We highlight the correspondence between one-dimensional Lorentz transformations, which relate events observed from two distinct inertial reference frames, and ray transfer transformations in Gaussian optics. Specifically, we identify…

光学 · 物理学 2026-01-22 M. A. Bouchene

A careful study is made of the operational meaning of the time symbols appearing in the space-time Lorentz transformation. Four distinct symbols, with different physical meanings, are needed to describe reciprocal measurements involving…

综合物理 · 物理学 2009-09-01 J. H. Field

Abreu, R. suggested a new interpretation for the Lorentz Transformation (LT), a different LT derivation and a new "synchronized" space time transformation (ST). While he has shown that his results could be expressed in a Lorentz invariant…

综合物理 · 物理学 2007-05-23 Gustavo Homem

We present an elementary, symmetry-first derivation of the Lorentz transformation together with a methodological clarification of the linearity step. Starting from the Principle of Relativity, supplemented by spacetime homogeneity,…

经典物理 · 物理学 2026-05-26 Nianjun Tan

The equation of the Doppler shift of two bodies in inertial motion in a reference frame at rest (i.e., stationary reference frame) is derived. In this derivation, the wave-particle duality of photons in the theory of special relativity is…

综合物理 · 物理学 2007-05-23 Masanori Sato

A deformation of special relativity based on a dispersion relation with an energy independent speed of light and a symmetry between positive and negative energy states is proposed. The deformed Lorentz transformations, generators and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Clemens Heuson

Lorentz Transformations of Special Relativity are derived from two postulates: the first is the Principle of Relativity, while the postulate of invariance of the velocity of light, used in usual derivations, is replaced by a law of…

物理教育 · 物理学 2007-05-23 Gemma Faraco , Giuseppe A. Nistico'

Although there is no relative motion among different points on a rotating disc, each point belongs to a different noninertial frame. This fact, not recognized in previous approaches to the Ehrenfest paradox and related problems, is…

广义相对论与量子宇宙学 · 物理学 2014-11-17 H. Nikolic

An analysis of the Lorentz transformation shows that the unchangeability of the space-time coordinates of the inertial systems under consideration and the possibility of a direct projection of those coordinates onto another are the…

综合物理 · 物理学 2007-05-23 Ernst Karl Kunst

In this paper the analogues of the Lorentz transformations for non-inertial reference frames have been obtained. A common case when the movement speed of one coordinate frame in relation to another one can have time derivatives of higher…

综合物理 · 物理学 2016-08-24 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva

The relativistic time is different from the Newtonian one. We revisit some of these differences in Doppler effect, twin paradox, rotation, rigid rod, and constant proper acceleration. ------- La relativeca tempo estas malsama ol la Newtona.…

综合物理 · 物理学 2012-01-06 F. M. Paiva , A. F. F. Teixeira

Authors derive the Lorentz-Einstein transformation for the space-time coordinates starting with a one-space dimension approach. They add to the results the invariance of the space coordinates measured perpendicular to the direction of…

综合物理 · 物理学 2008-12-04 Bernhard Rothenstein